Graded components of local cohomology modules

• Puthenpurakal, Tony J. ^[1]
  1. [1] Department of Mathematics, IIT Bombay, Powai, Mumbai, 400 076, India
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 1, 2022, págs. 135-171
• Idioma: inglés
• DOI: 10.1007/s13348-020-00311-4
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let A be a regular ring containing a field of characteristic zero and let R=A[X1,…,Xm]. Consider R as standard graded with degA=0 and degXi=1 for all i. In this paper we present a comprehensive study of graded components of local cohomology s HiI(R) where I is an arbitrary homogeneous ideal in R. Our study seems to be the first in this regard.